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Magnification of conic mirror reflectometers.

K A Snail, L M Hanssen

|February 21, 2008

Summary

This study derives and compares exact magnification formulas for three conic mirrors used in reflectometers. Understanding maximum magnification is crucial for accurately sizing optical components in diffuse reflectance and scatter measurements.

Area of Science:

Optical engineering
Surface metrology

Background:

Conic mirrors are essential for measuring surface diffuse reflectance and total integrated scatter.
Quantitative comparison of maximum magnification for primary conic mirror types has been lacking.
Exact magnification formulas are needed for optimal detector and source sizing in reflectometers.

Purpose of the Study:

To derive and compare exact analytical expressions for the maximum magnification of three primary conic mirror types.
To provide quantitative data for selecting appropriate optical components in reflectometer design.

Main Methods:

Derivation of exact analytical expressions for maximum magnification.
Comparison of magnification formulas for Coblentz hemisphere, hemiellipsoid, and dual-paraboloid mirrors.

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Main Results:

Exact magnification formulas were derived for the Coblentz hemisphere, hemiellipsoid, and dual-paraboloid mirror systems.
Quantitative comparison of the maximum magnification capabilities of these three conic mirror types was performed.

Conclusions:

The study provides the first quantitative comparison and exact formulas for maximum magnification of key conic mirrors.
This research enables improved design and component selection for reflectometers used in surface analysis.